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Finding the Fourth Proportional to 953.18, 1,318.98 and 813.08

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Solution

The fourth proportional to 953.18, 1,318.98 and 813.08 is: 1,125.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    953.18 : 1,318.98 = 813.08 : x
  2. Step 2: Convert to fraction form
    953.18/1,318.98 = 813.08/x
  3. Step 3: Cross multiply
    953.18x = 1,318.98 × 813.08
  4. Step 4: Simplify right side
    953.18x = 1,072,429.66
  5. Step 5: Solve for x
    x = 1,072,429.66/953.18
  6. Step 6: Final answer
    x = 1,125.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.